The story of 0

1, 0 of the role

(1), placeholder

In the case of a decimal number of 2503, 0 of it means "no" for 10 bits. Although said "no", but this 0 can not be omitted. Because if you omit 0 and write 253, it becomes a different number.

In the bitwise counting method, the digit has the very important significance. Even if the 10-digit number is "not", you cannot write the number. This is the turn to 0 appearances, that is, 0 of the role is to occupy a position. In other words, 0 occupies a position to ensure that digits above it do not cause dislocation.

(2), unified standards, simplified rules

Also take 2503 as an example, it is represented by a bitwise count method: 2 x 10^3 + 5 x 10^2 + 0 x 10^1 + 3 x 10^0. 3 x 10^0 0 plays a role in standardization, and if it does not, it has to deal specifically with the number "3".

By stating "No", the rules can be simplified. This concept is also very useful in programming.

2, why the negative power of the natural number is the fraction? Negative number multiplied by negative result is positive

Observations: 2^5 = 32, 2^4 = 16, 2^3 = 8, 2^2 = 4, 2^1 = 2. It can be concluded that for 2^n, the value of n per reduction of 1 becomes the original 2 1. Well, we can speculate that 2^0 = 2^1/2 = 1,2^-1 = 2^0/2=1/2 ...

In the same way, observe: -2x5 = -10,-2x4 = -8,-2x3 = -6,-2x2=-4,-2x1 = -2,-2x0 = 0. It can be concluded that for -2XN, N will increase by 2 for each reduction of 1 value. Well, we can speculate that -2x-1 = -2x0+2 = 2,-2x-2 = -2x-1 + 2 = 4 ...

The story of 0